https://file.aiquickdraw.com/mathbot/file/1726750396806uefcmrhk.jpg

https://file.aiquickdraw.com/mathbot/file/17267504667624v41hfvr.jpg

I have loaded the images. Let's now calculate the areas of the two figures.

### First Image (Trapezoid-like shape):
This appears to be an irregular polygon. We'll calculate its area by dividing it into simpler shapes.

1. **Left side rectangle**: Height = 20 cm, Width = 6 cm
2. **Right side trapezoid**: Two bases = 12 cm and 10 cm, Height = 6 cm.

We will add the areas of both parts to get the total.

### Second Image (Irregular L-shape):
This shape can be divided into rectangles:

1. **Bottom rectangle**: Width = 16 cm, Height = 7 cm
2. **Top-right rectangle**: Width = 10 cm, Height = 8 cm

I will now proceed with calculating these areas.The areas of the two figures are as follows:

1. **First Image (Irregular polygon)**: The total area is \( 186 \, \text{cm}^2 \).
2. **Second Image (Irregular L-shape)**: The total area is \( 192 \, \text{cm}^2 \).

Would you like a breakdown of these calculations or further details? Here are some related questions for further exploration:

1. How do you find the perimeter of these shapes?
2. What are some techniques to divide irregular polygons into simpler shapes?
3. How is the formula for the area of a trapezoid derived?
4. How would scaling the dimensions of a shape affect its area?
5. What role does the Pythagorean theorem play in irregular shape decomposition?

**Tip**: When dealing with irregular shapes, dividing them into simpler geometric figures (rectangles, triangles, trapezoids) makes the area calculation much easier.

Find the area of the shapes shown in the images.

Learn how to find the area of irregular polygons and L-shaped figures by dividing them into simpler shapes. This problem covers the area calculation using rectangles and trapezoids, and is suitable for Grades 7-9. The solution explains the step-by-step process of decomposing polygons and applying basic geometric formulas.

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